Results 51 to 60 of about 292 (78)
Partial Differential Equations in Applied Mathematics, 2023 The modified Zakharov-Kuznetsov (mZK) model convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics ...
Farah Umme Afrin
doaj
The agreement between novel exact and numerical solutions of nonlinear models
Partial Differential Equations in Applied Mathematics, 2023 Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj
Solitary waves and vortices in non-Abelian gauge theories with matter [PDF]
arXiv, 2011 We consider a non-Abelian gauge theory in R^{4} equipped with the Minkowski metric, which provides a model for the interaction between a bosonic matter field and a gauge field with gauge group SU(2). We prove the existence of solitary waves which are related to those found for the Klein-Gordon-Maxwell equations.
arxiv
Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods
Results in Physics, 2020 In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj
Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
doaj
Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]
Heliyon, 2023 Khater MMA.
europepmc +1 more source
Green's function of heat operator with pure soliton potential [PDF]
arXiv, 2011 The heat operator with a pure soliton potential is considered and its Green's function, depending on a complex spectral parameter k, is derived. Its boundedness properties in all variables and its singularities in the spectral parameter k are studied. A generalization of the Green's function, the extended resolvent, is also given.
arxiv
Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems. [PDF]
Adv Differ Equ, 2021 Timofejeva I +4 more
europepmc +1 more source
Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation [PDF]
arXiv, 2020 We give a complete characterisation of the reflectionless Schr\"odinger operators on the line with integrable potentials, solve the inverse scattering problem of reconstructing such potentials from the eigenvalues and norming constants, and derive the corresponding generalized soliton solutions of the Korteweg--de Vries ...
arxiv
A new (1+1)-dimensional matrix k-constrained KP hierarchy [PDF]
arXiv, 2013 We introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensional modified Korteweg-de Vries equation and the Nizhnik equation. A binary Darboux transformation method is proposed for integration of systems from this hierarchy.
arxiv